Question

question 11(multiple choice worth 5 points) (02.06 mc) what is the measure of angle x? a pair of parallel lines is cut by a transversal. an exterior angle on the left of the transversal is labeled as 40 degrees. an interior angle on the right of the transversal, which is not vertically opposite to the 40 degree angle, is labeled as x. 40 degrees 80 degrees 130 degrees 140 degrees

Answer 1

The measure of angle x is 140°

For given question,

We are given that a pair of parallel lines is cut by a transversal line .

Let a pair of parallel lines are PQ and RS and the transversal line AB cut the parallel lines PQ and RS.

We are given that an exterior angle on the left side of the transversal line is 40 degrees.

The interior angle on the right side of transversal line is x which is not vertical opposite to exterior angle = 40 degrees

We know that when two lines are parallel and cut by a transversal line then corresponding angles are congruent.

So, angle MNR = 40°

Also, ∠MNR + ∠MNS = 180°           ...............(linear pair of angles)

⇒ 40° + x = 180°

⇒ x = 140°

Therefore, the measure of angle x is 140°

Learn more about the angles formed by parallel lines and transversal here:

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